I have my Meyers in a California Cage with 1" bar spacing. It is fine. Her feet are big enough to climb the bars and head is too big to get stuck. Unfortuately they don't make Calif. cages anymore. My suggestion would be to get a cage that is very simple for ease of cleaning. Cages with all the extra stuff are a PIA to clean and takes forever, therefore doesn't get cleaned as often as it should. The cages with all the different towers, etc. are useless because by the time you get in all the toys, perches and food dishes, there isn't much room left for the bird. I would choose a cage that is plain and with a dome top as it gives most space for the money. Consider buying a playgym on wheels that the bird can get out and accompany you in other parts of the house. It helps to entertain the bird, helps keep the noise down when the bird is with you and makes them less cage territorial than having their whole life centered around the cage.
The suggestion to have a cage as far off the ground as possible is a good one. If you have predator animals in the house you need to plan for how you will handle that. I only have birds but can only imagine the issues with giving the bird as much out of cage time as possible but not endangering her life.
Looking for a used cage is a practical idea if you can find one in good condition. Keep away from rusty or repainted cages because of the possible toxicity. Check with local bird clubs.