Not to be a wet blanket, but we shouldn't start counting our chickens just yet.
His SCOTUS nomination will simply be replacing arguably the most pro-gun Justice on the Court. Therefore, it's status quo on that front. The next two oldest Justices are split pro- and anti-gun. If the past is any indication, Justices often wait until a favorable situation exists for them to be replaced by someone of like mind. RBG will likely try to linger around for another 4 years in the hopes that a Dem wins in 2020. Of course, if she was a woman of her word, she'd be packing her bags for New Zealand right about now. As a side note, I've heard of not a single leftist celebrity who actually followed through on leaving the country with a Trump win.
When it comes to Federal legislation, there are probably a couple of Dem senators who would be willing to filibuster something like national reciprocity or the Hearing Protection Act. The Republicans lack the 60 votes necessary for cloture... and even if they had 60 members, I'm not sure all of them would be willing to go on the record breaking a filibuster about something that some folks feel is conflicting with state's rights.
Plus I'm not sure that there is any reason why the same old politicians would see fit to even bring this to a vote in the Senate. There are probably a lot of Repubs that are again afraid to actually vote on some of this legislation and go officially on the record. Backdoor dealings and such might go on and allow this type of thing to die in committee.
Ask anyone in Florida who is very pro open carry. There was a single Republican state senator who refused to let these bills see the light of day of a vote despite passing overwhelmingly in the House and probably having enough votes in the Senate. One man with one agenda of a party that supposedly should be pro-gun... that's all it took. Fortunately for us in FL, he lost his reelection bid so maybe we will see some movement on pro-gun bills. Of course... meet the new boss... same as the old boss.