Crate training question

I have a 14 week old Cavapoo who we got when she was 12 weeks. We are two weeks in.

We live in a city apartment with a backyard. At night, she sleeps overnight 10:30-6:30 am in her crate, one of those plastic travel crates. During the daytime, I can get her to nap in that same crate. We keep it in the back of the apartment in our bedroom.

We also have one of those larger 24×36 wire crates set up in our living room/kitchen area. I am wondering how we can get her to be comfortable in that larger crate. I’ll put her in for short periods of time but I don’t see her napping there, especially if it’s a noisy time with kids running around.

We want to train our dog to be able to be alone for periods of time and I just don’t know if we should just keep using the smaller crate until she’s older, or keep working in her getting comfortable in the bigger crate. I guess I imagine she’d nap in the bigger crate when we go out if we leave her alone but we are not there yet.

Any advice?