Design a logo

New logo needed for an east coast island town business that rents bikes & beach gear (umbrellas & chairs), plus sells disc golf gear. - Looking for iconic logo that customers would want to purchase as merchandise. - Clientele is aged 30 to 60 years old and a good mix of both female & male...so would need a logo design/color scheme that appeals to both mid-age and older adults as well as both genders. - I've attached one sketch concept that I put together myself (not at all a designer!), but I like the idea of a unique/abstract drawing of a cruiser bicycle. This concept also incorporates a half-arch design (could be full circle) that could represent multiple concepts of a beach sun, a bicycle wheel spoke, the top of an umbrella, and a disc golf disc - but without being too literal or "busy". - I like a more unique font. - I am completely open to ideas that can be very different than this - does not need to be similar to this design. - Overall feel is fun yet sophisticated (maybe even bit nostalgic), since it is a beach town, but still appeals to a mid-age demographic. - Business name is TIMS Bikes, Beach & Disc Golf. While I want TIMS (all caps) to be included, don't want it to be the main focus (was previous owner's name but has 15-year history so not removing).