Flying Dodo
It'll soon be summer
Question for the forum hive mind: is ten minutes to change train at Leeds sufficient when one is encumbered with bike?
Make sure you have a train app on your phone which shows the arrival & departure platforms. That way, if you check your arriving train say about 10 minutes, before you're due in Leeds and also your next one, it gives you a heads-up of the likely way you might have to dash.
But assuming the first train isn't late, then 10 minutes is fine. However, don't faff waiting for a lift if you need to get onto a different part of the station - carry the bike up/down stairs.

. It's £1 a day & more secure than city centre. If anyone wants to leave their bikes there let me know & I'll see if I can sort a deal out if there's a few
You'll still need a lock, but the area is locked out of hours & staffed during opening times
Its a 2 min walk from either spoons or the secret garden