If we start considering surgery, some questions for your surgeon...
What are the chances of the procedure being nerve sparing (giving a chance of natural erections afterwards)?
What are the chances of good continence afterwards?
These questions can be answered based on the location of the cancer and your anatomy (things like length of membraneous urethra).
Does your surgeon do Retzius Sparing? (gives faster recovery of continence, but no difference longer-term)
Do you consider yourself to be relatively fit and not obese?
For radiotherapy...
Given that they offered you Active Surveillance, you are probably a candidate for any of the radiotherapy treatments, so ask what they offer:
The most common would be 20 sessions (weekdays over 4 weeks), possibly with short duration hormone therapy.
You are probably eligible for seed brachytherapy (unless prostate too large, over 55cc). That's a single procedure where 60-100 tiny radioactive seeds are placed in the prostate, a bit like the biopsy but significantly less uncomfortable. This is sometimes done with hormone therapy. The seeds generate radiation for about 200 days before they wear out. They stay in for life, but are benign after 200 days. For the first 60 days or so, you can't have children or pets or pregnant women on your lap.
A new treatment as a result of the successful PACE-B trial is 5 sessions of SABR (a form of higher power external beam radiotherapy) delivered daily (usually split over a weekend) or alternate days, which is given without hormone therapy. The hospitals which were involved in the trial now offer this and NHS England has said it will be commissioned quickly at all hospitals which can do prostate SABR (which isn't all hospitals), but last I heard about 6 weeks ago, NHS England hadn't yet sent out the commissioning for this.
If you are not offered all these options, that's probably because your hospital doesn't do them all. Within England, you can be referred to any other hospital in England. This might be why you weren't offered a focal therapy too (although I'm not a big fan).
Most people consider radiotherapy as an easier option, but things like a long travel time for daily treatments can easily swing this, and any need for a long period on hormone therapy (not applicable for you). Radiotherapy is less likely to cause urinary incontinence, and possibly less likely to cause erectile dysfunction (although the data on that isn't reliable IMHO). It often does cause some short term bowel issues during or after treatment, and it has a small risk of causing long term bowel issues but with modern radiotherapy, the chances of those being serious are very low.
There's no one answer. You can have two people with identical diagnosis, age, etc, but other life factors would make them select different treatments.