I have done this on several occasions. There are books on the subject. Your project can go smoothly, or be a nightmare. It is largely influenced by how good your project plan is, the subcontractors your select, and luck.
Here are a few pointers:
1) Make sure your plan has enough flexibility to allow for the unexpected. It will happen - even on small projects.
2) Subcontractors usually pay for materials by credit. If they do not pay their supplier, you can be held equally accountable, even if you pay the subcontractor. This is really screwy, but is the law nonetheless. Make the subcontractor give you his materials invoice(s), and YOU write the check. Then deduct it from the bid total. If they will not do this, get one that will. Small construction companies are notorious for paying off their last job, with money from the current one. You do not want to do business with someone who is kiting.
3) Everyone will supply references. Dig a little deeper. If it is a significant scope of work, check for lawsuits, and/or judgments against the sub. Important: be sure to check on any warrantee work that was required, and how well it was attended to.
4) Read the contract carefully. Make sure the entire scope of work is clearly documented. If it is a time critical scope, add a penalty for delinquency.
5) The subcontractor may require advance money. Much if this can be mitigated by doing item 2 (above). Smaller contractors, or larger projects may require to make periodic payments against a schedule of values (SOV). These are usually estimates ("I have now completed X% of the work, and am billing for that portion"). It is quite common for these SOVs to be challenged. Sometimes it is easy to discern. For example, if a sub is building a masonry wall, 40 feet long by 8 feet high, it is pretty to estimate what percentage has been completed. Some scopes are not as easy to determine. Use your judgement.
6) It is common for the owner to hold back anywhere 5%-15% of each invoice. This is called retention, or retainage. The contract will stipulate when the final retainage payment is to be made. There is quite a bit of variability in this. A good rule of thumb is 30 days. That gives you some leverage, if you find any issues after the work has been completed.
7) I am repeating, read the contract carefully. However, if you feel the contract is the main thing that is making you feel confident in using a sub, you have the wrong company. Contracts are the 'last line of defense'. You never want to go to court in a contract dispute.
So, these are some quick and dirty tips. Picking the right people to work with is essential. But, you also must be honest about your abilities as a project manager. That is what you will be. If you sit back and wait for it to 'happen', you may create your own problems. Keep on track with what is happening. Identify problems early, and communicate any issue to everyone downstream. Be a good customer! Few people ever bother developing this skill. It is one of the most important things a person can learn. It helps you in so many places. Yet, it is often overlooked.