Welcome to the forum family, ausf!!
As an industrial hygienist I can tell you that exposures to toxins are based on many variables, the most common being the frequency and duration of use, what you're using (ingredients), the concentrations the ingredients represent in the process, and how the process is performed (e.g., what controls are in place, if any).
As a general rule, spraying acrylics should be relatively safer than spraying enamels or lacquers; however, even acrylics and their thinners may contain alcohols, certain glycol ethers, or other solvents that may tend to aggravate or exacerbate your sensitivity, so good ventilation is still a must for you--and everyone else, too.
Explosion-proof equipment is not required, and is more cost prohibitive than you can imagine. A good ready-to-go spray booth is certainly one option, and can be purchased from places like Artograph, Badger, Paasche, and Micromark. You can even build your own. If you do, it is recommended you use a brushless fan for your exhaust. Spray booths have been heavily discussed on this forum, and I encourage you to do a search on this forum for any questions you may have. Afterwards, if you have specific questions, come back here and we can give you all sorts of advice. Risk increases as concentrations in air increase. Although the reports of problems are few, I would discourage the use of a spray can of paint into a homemade booth containing a bathroom or kitchen exhaust fan.
Paracelsus (an old Greed dude) said that (basically) the dose makes the poison. I do not know of any glues for bonding styrene or aftermarket parts that would be considered non-toxic, unless you consider something like Elmer's white glue. But here's where process and frequency/duration come into play. Typically, when you use liquid cement, you are only using a couple drops at a time, and then only infrequently. In addition, it's usually being applied with a small brush, so there's not too much risk of skin contact. If you glue with your nose close to the process, there's a reasonable risk of inhalation to occur, but because of the amounts used, exposures should be minimal at best. Keeping a window open, or a fan running further reduces the potential for inhalation to occur.
Superglues are a little different actor. Ethyl- and methyl cyanoacrylates have the potential to sensitize an individual so that repeat exposures could cause symptoms consistent with an effect called "chemical asthma" (this would be worst case). The hydroquinones used in accelerators are not real good for you either. If you notice any difficulty breathing, or any signs of coughing/wheezing, etc. you should stop using the stuff--for good. Again, the use of minimal amounts, good ventilation, and process controls (keeping your nose as far away from the source as possible) reduces the potential for exposures and subsequent sensitization.
Finally, if a spray booth isn't in your future, I would consider a good 1/2 mask respirator equipped with organic vapor cartridges and some room fans to dilute vapor concentrations in air (such as they are). These respirators are about $20 at a good hardware store. Cleaning of the mask after each use, and storage in a sealable plastic bag will prolong both the respirator and cartridge life.
If you have specific questions, don't hesistate to ask them! And if you want to shoot me a personal e-mail, please feel free to do so.
Hope this helps some.
Gip Winecoff