OK, here's for background:
If you are using a two-way splitter, you have divided the signal power by half + the loss of the connections and the splitter. If you use a three-way splitter, you are losing more than 75% of the signal per connection, because of the way a three-way is done. A four-way loses a little less than a three way, because it's a "natural" split.
Most splitters will have the loss noted at each connection: 3db is half (then you add the losses of the splitter), 6db is 25% (then add the losses)....
New cable TV systems are all under 1Ghz (ending somewhere in the mid-900Mhz as the highest frequencies), so you want a splitter rated for 1Ghz. Anything above that is unused spectrum, and may even allow more noise into the system.
The data channels used by a cable modem are transmitted just like video, on two "channels" of the broadband (usually one @ low freq, one @ high freq , like VHF and UHF - one for transmit, one for receive).
Now, the "usual" method is as mentioned above: one split where one branch goes to the cable modem, one to a video feed. Either can be split again and again AS LONG AS YOU COMPENSATE for the losses, usually with an amplifier. In the case of the Data side, it must be a two-way amplifier (so the return signal - your transmitted data - can make it back into the system above the noise floor). On some cable systems (like digital cable TV ... boxes with pay-per-view, etc) may also need a bi-directional amp.
The amps are available, but your better choice (IMHO) would be to have an installer come out and do the compensation for you. Run the cables (or figure out where you want 'em), then have the installer come out and adjust the system. The installer has a signal strength meter and can adjust the signal strength coming into your home to match the cable layout you have.
If you add equipment to their system, they are not responsible for it, and they may (read: almost certainly) blame your equipment if something isn't working right, and make you remove it.
Just dropping in an amp may not help: an overamplified signal is typically worse than a weak signal; most systems (Cable modems or TVs) can amplify to some extent, but can only reduce the signal so far...the target is a 0dbm signal to each device.
Using a high-quality cable can reduce some of the loss. The minimum standard these days is RG/6; a better grade is quad-shield RG/6. Radio Shack cable is OK, but there's much better available for probably less cost through a commercial electronics supply. Connectors will also make a difference. A good quality connector conducts the signal with a minimum of loss, and helps to "seal the noise out." Snap & Seal (IMO) are absolutely the best.
There is no such thing as a "decent" screw on connectors (for any medium). They suck. They suck really bad. They're unquestionably the worst thing you can use for anything other than a temporary connection.
Again, bottom line, (imo) you're much better off calling the cable company and having them send out a tech. He has the right tools and equipment, and can make the adjustments in the signal strength of the feed to give you the best data and video signal.
Of course, they are some real, um, stoooopid installers; they are generally the exception rather than the rule. If something isn't working correctly, call the cable company back out to make it work right. Since they do/did the work, they are responsible for it.
Good Luck
Scott