I don't think we need to be too pedantic with the OPs venture.
Commitment and enthusiasm will go further than spelling or semantics.
Important things are to get some customers and build up a reputation. Marketing is key here. Leafleting, mailshots and flyers in the local press or shops can generate work, but target the areas where the work is.
On your travels look for the broken fences and approach the homeowners. Be smart and professional so as not to be confused with the visiting ******. Get some brand awareness - a memorable logo on the van and some smart work gear - not jeans and a tee-shirt
Think up something more imaginative than RSW Fencing - that just says fencing to me, not other garden work.
Get the work first and then buy the tools you need.
Find you own local suppliers - don't forget the
Wickes and B&Q's. Sort out an account so as to help your cash-flow.
Offer some additional services - perhaps a coat of coloured fence stain or treatment every couple of years.
I may see 5 fencers on my travels tomorrow, but how will I remember them? Be that one that stands out and gets noticed/remembered
Check out what your competetors are charging - ring them for some quotes!
Get out there after some storms and look for work.
Approach some insurance companies for inclusion on their contractor lists