as long as the cable coming from the 3-way splitter is not feeding anything other than your tivo it should be ok to remove the 3-way and go directly to the tivo. as far as the amp is concerned.....how many cable outlets do you have? you generally do not need an amp unless you have alot of outlets, if your drop from the street to the house is TO long, or if your outlet is to long causing to much attenuation. alot of lazy cable guys will just slap in an amp if the wiring is in bad condition or its really old because its a quick bandaid and keeps him from spending two hours rewiring everything.
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