There is far too much mystique and hand-waving keeping the myth of wheels being hard to build alive. The physical act of lacing is nothing but procedure, the act of tensioning and truing is patience and logic, sure you get better at it the more you do, and you get a feel for when things aren't right but there's nothing inherently difficult about building normal wheels in sensible lacings.
And I say that as someone who built professionally for a number of years, for the shop I worked in, for their race team, and freelance for other shops and local racers and riders. There's no magic to wheels, they can be complicated and tricky but standard patterns with mainstream components for 'normal' wheels are essentially very easy to get to grips with.
If you want something exotic or wacky or have very extreme requirements though then it can get more complicated and it can get difficult and require more expertise. Where the wheelbuilder comes into their own though is in knowing what components work well together and for which use cases, which is just as important as the physical act of building. I'd rather have an acceptable build of appropriate components than a tip-top build of inapproriate ones. Of course ideally you want both
If you do want to learn then get reading first, Mick and others have already given you some good links, and forums offer a wealth of knowledge but I'll offer some caution... don't get too hung up on one person's opinions, a few builders held in very high esteem differ (directly contradict in some cases!) in their advice on some aspects of lacing patterns, lubrication and use of some types of component, the fact they differ doesn't make either one of them wrong, they have just formed opinions, often strong ones, and normally they can back both of them up with sound engineering and experience but they're often arguing differing over minutiae or about things which only come into play under extreme or specific uses. Heck, even some of the manufacturers differ in recommendations on how to lace their own hubs for some use so take all strong opinions with a pinch of salt
If however you just want to pay someone else to do it to save time or becasue you'd rather put your confidence in someone else then I would say find a local wheelbuilder. Decent handbuilts shouldn't have any day-to-day issues but if you do have a mishap then it's far easier to be able to go to your local builder to get them sorted than having to post them (or take a long trip) back to someone a long way away, unless you have very particular requirements for something exotic then what you want is a decent builder nearby, rather than the 'best' builder on the other side of the country.
It'll also give you a chance to discuss first hand with the builder what you're actually going to use them for and allow them to size you up and recommend components accordingly, a lot of people decide they want a pair of wheels with X rims on Y hubs for example, when they would be better suited with other components, chatting to the builder gives them the opportunity to advise, you might be bang on with X and Y, but better to discuss than just order and find out later that it wasn't appropriate.
Looking for a good set of wheels
^ that suggests to me you'd benefit from such a discussion as unless you're holding back it sounds like you don't know what you actually want or need. And in what way are the current wheels lacking and need improvement in your eyes? Are we talking good wheels for racing (Climbing? TT? Crits?) good wheels for training? good wheels for audax? good wheels for commuting? heavy rider? light rider? strong rider? etc.
'Good' can mean many things to different people, it can mean light, aerodynamic, strong, stiff, repairable, long lived, pretty, or any combination thereof and with various weighting to each aspect.
