100% agree on conduit runs.
Figure out how many devices are going to be where. Figure out where you should 2x/4x that drop wise. (such as the TV or main TV, office space, etc). IMHO singlemode seems nice for the whole "any speed any time" but multimode is easier to work with, less finicky with cheaper couplers/keystone jacks, less sensitive to dust, and you can do 40GB or 100GB over OM3 (honestly likely even OM2 over short distance lol) see
Cisco Transceiver Modules - Cisco 40/100Gb QSFP100 BiDi Pluggable Transceiver for an example transceiver.
Once you have figured out your locations with a lot of devices or where you will need 10GB+ thats where I would run fiber and copper, minimum 2 runs of each (cat6/6+, anything more is overkill). For your key locations (office. media area) consider running 12-fiber MPO, there are very cheap breakout splitters on ebay that turn that into 6 pairs. these are much nicer to run than LC ends as well, and less cable bulk too.
For office, media area, etc, consider a switch (managed or unmanaged) to give you all the 1G/2.5G ports you need (still run 2 runs of Cat6 to those locations just in case, such as for POE etc),
If you watch ebay you get get OM3/4 MPO for $1-$2 per meter, since OM3 will do 100GB at 70M with the right optics I wouldn't personally be worried about buying it over OM4.
Once you are above 6 runs of Cat6 to a given location, it's worth asking "should I put a switch at that location" even if it's just a 1g or 2.5g switch. Sometimes the answer is no, but sometimes it makes more sense.