Others prefer that the first double is only semi-natural and just shows extra values. Discuss this with partner. We play that after 1NT is doubled, we are in a force through 2 . This is quite helpful if overcaller is 5-4. 2NT is a natural game try.
Jumps are invitational.
3 is to play. 2 followed by 3 is forcing. In response to the transfers, all bad hands simply accept the transfer. 2NT is a natural game try. Jump acceptances are invitational.