Get comfortable with 5k, then start playing with different structured running sessions. There are improvers plans.
C25k+ has 3 podcasts talking you through speedwork and is a great introduction.
The Nike Run Club app has a range of podcasts that intersect with spotify and you just select what you want. A variation is Zombies Run which has immersive stories to listen to within the runs with zombie chase option (although I found that it instinctively activated when about to cross a road or at the bottom of a hill)
If you have a sports watch, some brands like Garmin have training plans in them. The great thing about this option is that the instructions are on you and responsive which is simply easier to follow than a paper plan by the time you're playing with repeats, paces and timings.
If you're free at 9am (or 9.30 in applicable parts of the UK/Ireland) Saturday mornings, parkrun is a lovely motivating habit.
If you have got one session a week avaliable for longer then 10k could be viable. C25k runs are all in the same 30-45 min band of time repeating 3x per week which is great for building a base. 10k (or longer) tend to only extend one run a week, and keep the other runs shorter for recovery/ speed work. Even training for a marathon can involve only one long run and keep the other runs at 30 mins/ 5k- I'm not saying, run a marathon, just that even very long distances aren't necessarily the time sink that you might expect. Depending on your 5k time, a 10k would be up to 60-90 mins once a week, and that's the maximum time not every week.
Even if 10k is still a no-go, if you can spare going a bit further, that extra bit of stamina is good for 5k performance.
Keep it varied. Try and mix your routes, flip them around. If there's fields nearby, take up trail. Getting to different starting points even 10 minutes from home can make a big difference in keeping it fresh particularly if 5k from home is quite repetitive. Pubs, churches, supermarkets can be good starting points other than more obvious parks.
I record what I do as it's satisfying seeing patterns, consistency and progress. I note down the Strava/ Garmin data into a bullet journal as that's an easier format to review over time. Running ebbs and flows, life gets in the way. I've recognised the patterns over the years as life gets in the way in certain months, and 2020 taught me that that's natural and healthy and without those other influences, it is hard to constantly push yourself to do the same thing week in week out with no external motivation. It's now easier to accept those variations and that they provide natural rest phases both mentally and physically and keep running fresh, and that makes the running phsses more fun.
Finding your fun keeps you going.