He can avoid this size restriction with a WabiSabi coinjoin, you can create outputs with arbitrary values.
Ok, thanks for pointing this out, however I don't use Wasabi or anything related to it.
I am not going to criticise it here, we have done that a lot in other topics.
I don't ignore your suggestion, I am just focusing on the tools I know how they work and I know I can help.
So, you can create a helpful post for OP where you can give all the advice you want, using whatever tools you wish and I will do the same in a separate post for the tools that I know. I think it's better this way.
Another thing is why you want to move to another wallet?
If there is not need to touch that balance, then is better to wait for low fees.. The only reason to move all to another wallet is if the current seed or hdkey was compromised somehow... (In this case privacy doesn't matter)
After all other member recommendations, i strongly recommend don't move it unless it was compromised
Perhaps it is not compromised but OP wants to ameliorate his set-up, moving to a multisig for example. OP can use both wallets, of course, but I don't think it is a bad process. Of course, if it is not compromised, I also suggest OP to wait for better fees.