You need a soprano ukelele with the G tuned High (if you have it tuned low please let me know in advance). I recommend the brands Mahala, Makala and Rocket. I have learned from experience that cheap brands that cost less than $30-40 will not actually work (especially when it comes to playing chords or being in tune with others). There is no point in renting, because it is not a high cost item. Please check it is a good one by seeing if you can get it in tune at https://ukuleletricks.com/ukulele-tuner/ or https://ukulelechannel.com/5-best-free-ukulele-tuner-apps/   I also recommend that you have a good headset to use with the computer. If it's long enough, you can keep it on while playing. This will reduce feedback noise. Without headphones, other siblings, pets, etc. to intrude and make it difficult for others to hear.  I would also suggest students start muted. I may mute them at certain points.

I just wanted to add that 1-2 hours is the maximum. You might build up to 70 minutes of practice per week,  which is 10 minutes per day.  It would be great to have 10-15 minutes/day.  Frequent practice for short periods is best.