ladynade, I am a fan of shares (or "equities" if you want to sound important) as one of the components of a well-balanced investment portfolio.
I use Edward Jones, but any IFA will do. If you are not looking for advice, and know exactly which shares you want to buy (as you have described), then I am sure you can buy them off share brokers or sites off the internet for much lower/no commission? - but I have no experience of this and maybe someone else will come along and advise.
From what I have gleaned, there are various investment strategies with shares. Stockpicking (buying specific shares) is the most risky and potentially rewarding. If you are the sort to watch the market, you can trade in them on a daily/frequent basis (but you got to know what you are doing) or if you have no time, buy to keep longterm once you have identified certain safe stocks.
Less risky is to buy into discretionary unit trusts (with an ISA wrapper for tax efficiencies) managed by a fund manager that makes the investment decisions. But these come with initial costs and annual management fees. My current preference, is to buy a tracker fund that just passively tracks specific stock indices (eg FTSE All-Share) - advantage is low management fees.
Bear in mind that if you/partner have a large pension, it is likely that most of it is in equities anyway, so to that extent, you already have exposure to shares.