My tuppence worth to add to the already excellent list/suggestions above (as a native, ex-pat, and more-than-regular visitor/tourist...).
Firstly, I think Miss Cranston's is currently closed for refurbishment (or was a few weeks ago..). An alternative MacIntosh fix (as his Art School is also closed to visitors, post-fire) would be the House for an Art Lover in Bellahouston Park - excellent tours, but a bit out of the way if you're not in a car - I think Ibrox is the closest tube station, from memory.
You said "Spring" so I think you'll be arriving after Celtic Connections (as mentioned by David...) is on, but if not, then here's the link to the festival programme -
http://www.celticconnections.com/eve...s/default.aspx (I've just booked for several of these!)
As you're only there overnight for one night, I'd suggest you consider stopping in the West End, rather than the city centre ('cos you might not do the latter justice in one night...) That would give you access to the Kelvingrove Art Gallery and the Hunterian, both of which - as mentioned - are excellent.
There's also lots of other stuff to do in the West End, with good restaurants and local pubs, etc. For example at Oran Mor - a converted church:
https://oran-mor.co.uk - you can eat in the restaurant, drink in the excellent bar, listen to live music, or possibly do their "Play, Pie, and a Pint" for a tenner. Other similar venues within walking distance of Byres Road - the West End hub road - are Cottiers (also restaurant/bar/music venue) or Websters (same).
Whilst in the West End, you've also got the excellent Ashton Lane, full of excellent restaurants (The Ubiquitous Chip is highly rated, and has attached bars, including a (heated!) rooftop one, though my favourite in the Hanoi Bike Shop -
https://hanoibikeshop.co.uk) and loads of very good bars (not rough!), which are very popular with students and academics/arty types, and and arty cinema too. Slightly further away, but only a £5 taxi ride, there's a further large choice of very good restaurants in Finnieston.
If you do decide on the West End, I'd recommend the Heritage Hotel, a very good value, friendly and cosy townhouse-style hotel. No frills, but excellent staff and very comfortable and less than 5 minutes from most of the above. Oran Mor has also opened a similar hotel on the same block, The Alfred, but I'm not sure what that's like, as I've not stayed there.