This is called child pays for parent and there is a three year old pull
request implementing it:

https://github.com/bitcoin/bitcoin/pull/1647

The points regarding sweep transaction UI is out of scope for a BIP I'm
afraid. I suggest talking with wallet authors, and if agreement can be
found writing a pull request.
On Jul 1, 2015 9:44 PM, "Dan Bryant" <dkbryant@gmail.com> wrote:

> This is a process BIP request to add functionality to the Bitcoin-Core
> reference implementation.  If accepted, this could also add
> flexibility into any future fee schedules.
>
> https://github.com/d4n13/bips/blob/master/bip-00nn.mediawiki
>
> Note, left the formatting in, since mediawiki is a fairly light markup.
> ==================================
> <pre>
>   BIP: nn
>   Title: Sweep unconfirmed transactions by including their outputs in
> high fee transactions
>   Author: Dan Bryant <dkbryant@gmail.com>
>   Status: Draft
>   Type: Process
>   Created: 2015-07-01
> </pre>
>
> ==Abstract==
>
> This BIP describes an enhancement to the reference client that
> addresses the need incentive inclusion of unconfirmed transactions.
> This method will create new high fee (or bounty) transactions that
> spend the desired unconfirmed transactions.  To claim the high fee
> (bounty) transactions, miners will need to include the desired
> unconfirmed transactions.
>
> ==Motivation==
>
> There are times when an individual receives a payment from someone
> that is in a poorly crafted transaction.  This transaction may include
> no fees, or insufficient fees to be included by many miners.  The
> recipient would be willing to pay a nominal transaction fee to have
> the payment transaction swept into the next block, but has no simple
> way to craft this incentive.
>
> This BIP could be highly desirable for merchants who may have little
> control over the type of wallets their customers use.  A merchant will
> want to ensure that all POS transactions to their hot wallet be given
> a high probability of inclusion in the next block.  This BIP would
> allow the merchant to sweep all their POS transactions currently in
> the mempool into one high fee sweep, thus greatly increasing the
> chance that they are in the next block.
>
> Although many wallets have the ability to tailor the transaction fees
> of payments that are sent, this BIP is unique in the sense that it
> allows people to offer a bounty for transactions that are incoming.
>
> ==Specification==
>
> This BIP would have two implementations; an automatic sweep of
> incoming unconfirmed transaction setting, and a manual sweep of
> unconfirmed transaction setting.  Both would have the ability to set
> the fee amount the user would like to pay for the sweep.
>
> ====Automatic sweep of incoming unconfirmed transactions====
>
> An automatic sweep configuration may be ideal for merchants who want
> to ensure that their incoming transactions are not skipped over by
> miners.  An automatic sweep setting would consist of four fields,
> <tt>'''sweep_fee'''</tt>, <tt>'''skipped_count'''</tt>, and
> <tt>'''btc_threshold'''</tt>
>
> Currently, the standard transaction fee is 0.0001 BTC, a generous
> sweep bounty would be 0.001 BTC.  Skipped-count will control the age
> of unconfirmed transactions to include in the sweep.  If skipped-count
> is set to three, then any incoming transaction that remains
> unconfirmed for 3 blocks would trigger a sweep.  A skipped-count of 0
> would trigger a sweep whenever any transaction is skipped, or if it
> reaches an age of 10 minutes, regardless of how long the current block
> is taking.
>
> As a safeguard to paying a bounty for small "dust" transactions, a
> minimum btc-threshold would be required for any automatic
> configuration.  A good starting threshold would be 0.10 BTC.  These
> automatic settings would allow a wallet implementing this BIP to
> automatically perform a sweep of unconfirmed transactions whenever
> more than 0.10 BTC of incoming transactions were detected in the
> mempool.  Furthermore, no more than one automatic sweep would be
> performed in any 10 minute window.
>
> Whenever a sweep is triggered, all incoming unconfirmed transactions
> should be swept, not simply the ones that triggered the sweep.  These
> would include new transactions as well as dust transactions.  Each
> sweep transaction would go to a new wallet address since recycling
> wallet addresses is poor practice.
>
> ====Manual sweep of incoming unconfirmed transactions====
>
> A manual sweep of incoming unconfirmed transactions would be a special
> type of "Send" in the current reference implementation.  A manual
> sweep would auto-fill a send transaction with all currently
> unconfirmed incoming transactions in the mempool.  The fee field would
> be completely settable by the user and would auto-fill with the
> suggestions of 0.001 BTC
>
> A manual sweep would also be available as a context option when
> selecting any unconfirmed transaction.
>
> ==Compatibility==
>
> Wallet software that does not support this BIP will continue to
> operate without modification.
>
> ==Examples==
>
> <pre>
>  //unconf_tx =
> ef7c0cbf6ba5af68d2ea239bba709b26ff7b0b669839a63bb01c2cb8e8de481e
>  //hifee_tx  =
> f5a5ce5988cc72b9b90e8d1d6c910cda53c88d2175177357cc2f2cf0899fbaad
>  //rcpt_addr = moQR7i8XM4rSGoNwEsw3h4YEuduuP6mxw7 # recipient controlled
> addr.
>  //chng_addr = mvbnrCX3bg1cDRUu8pkecrvP6vQkSLDSou # recipient controlled
> addr.
>
>  // UNCONF_TX - Assume a zero fee TX that miners are refusing in mempool
>  {
>      "txid" : "$unconf_tx",
>      //...
>      "vin" : [
>      //...
>      ],
>      "vout" : [
>          {
>              "value" : 1.50000000,
>              "n" : 0,
>              "scriptPubKey" : {
>                  //...
>                  "addresses" : [
>                      "$rcpt_addr"
>                  ]
>              }
>          }
>      ]
>  }
>
>  // HIFEE_TX - Requires UNCONF_TX to be included in order to claim the
>  //  high (0.001 BTC) fee.  Note this transaction is going from one
>  //  address to another in the same wallet.  Both are controlled by the
>  //  recipient.
>  {
>      "txid" : "$hifee_tx",
>      //...
>      "vin" : [
>          {
>              "txid" : "$unconf_tx",
>              "vout" : 0
>              //...
>          }
>      ],
>      "vout" : [
>          {
>              "value" : 1.49900000,
>              "n" : 0,
>              "scriptPubKey" : {
>                  //...
>                  "addresses" : [
>                      "$chng_addr"
>                  ]
>              }
>          }
>      ]
>  }
> </pre>
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