I hope you don't mind a response, I was on the site looking for advice on tiling and I came across your query.
RAMS are not hard to do, I could email you a form and talk you through how to complete one if you like, although if google search for free risk assessment template there is a great free version on the HSE site
https://www.hse.gov.uk/risk/risk-assessment-and-policy-template.doc
If you are a sole trader (or at least employ less than 5 people) you don't legally need a written RAMS (Risk Assessment and Method Statement) however this doesn't stop the main contractor asking for one. If you are a sole trader I wouldn't bother filling in the first page of the HSE form, just page 2.
When you fill it in, it is helpful to think about your day:
Getting to site: the main hazards are slips trips and falls. Your precautions would be care, keeping the workplace tidy, managing trailing leads and extensions, wearing proper safety shoes with a good grip
Working on-site: do you know what the fire alarm sounds like, do you know where the marshalling point is, do you know how to report an accident, do you know who is in charge?
Hacking off old tiles: hazards are sharp edges, flying shards of tile, dust, hidden services, precautions, eye protection, hand protection, extract ventilation in extreme circumstances
Mixing adhesive: hazards are airborne dust, wear a mask or well-ventilated area, aggressive chemicals, wear gloves, handling heavy bags, 2 man lift for anything over 25kg
Etc
You also need to think about the others that might be affected, other workers in the area, maybe you're working in a live school or hospital. For this group many of the precautions you will take will be applied to them although you don't need to think about site risks like slips and trips, only how your work activity affects them.
Don't worry about the quality too much it is more about thinking about the hazards you face and how to control them. I don't write these for a living any more but I review loads from main contractors (some of the biggest in the country) and generally they are a bit rubbish and don't forget they want you to work with them so even if it isn't perfect they will either help you fix it or, more likely, ignore it.