There's no reason why you couldn't do a non-liturgical "adoration of the Cross" complete with someone singing the beautiful chant that accompanies it. If no one can sing the chant, you could play that for them (on Youtube, CD, etc.) before or after the ceremony.
In general, I would recommend getting some CDs or youtube tracks of various gregorian chant and Catholic hymns for this week. The best chant of the year happens around this season. And don't forget all the beautiful Easter hymns! This can be listened to any time, not necessarily during "prayer/catechism/home liturgy with Dad" time.
On Good Friday there's Stations of the Cross. That particular part of the typical Good Friday experience transfers well to a home setting.
On Holy Saturday you could read the Lessons (or some of them), but definitely do the Renewal of Baptismal Promises. I don't see why a head of house couldn't lead his family in that, especially if going to a church is impossible.
You can read a few of the prayers in English (the ones the priest says in between "Flectamus Genua, Levate")
You can read aloud the entirety of the Passion according to St. John. If you have younger kids, you might have to stop every so often and re-tell what you just read in simpler language. Point out things, make connections for them, etc.
Traditional hand missals often have great "summary text" to describe what the feast days are about. Some also have beautiful artwork rich with symbolism that you can explain to your kids.
I've been reading to my kids bits and pieces of the Lessons and Epistles, to show them how minute elements about Our Lord's life, passion, and death were predicted hundreds of years earlier. "Isaias is like a 5th Evangelist". Also parts of Psalm 21. They recognized some lines from that, which I read aloud in the various versions of the Passion this week.
I taught them about the Paschal Lamb, how it was to be a fully grown, unblemished male, the Jҽωs weren't to break a bone of it, and they fastened it on 2 pieces of wood -- like a cross. It was cooked in an in-ground pit of coals and when done, its skin would have looked like a scourged, crucified man.
In general it's good to go through the hand missal for each feast day, and explain to your kids what you're missing -- what you'd be seeing if these were normal times, if you had a Mass option available, etc. Tell them about the Gloria with bells ringing on Holy Thursday, after which the bells and church organ go silent until the Gloria of the Midnight Mass on Easter. Practice covering your cruficixes and holy images on Passion Sunday. There are so many rich liturgical traditions that make the Catholic Faith very INTERESTING, about as good as it gets, during this time of the year.
You can point out the interesting anachronisms in the Holy Thursday and other Holy Week liturgy -- things that weren't changed per se, they just never got updated as the Tridentine Mass organically developed after 400 AD. For example, there was an old doxology "Who will come to judge the living and the dead, and the world by fire." You only see this today in certain blessings, and Holy Week.
Look at the calendar -- not only is there 40 days preparation before Easter, but the week after Easter is all special as well: "Easter Monday", "Easter Tuesday", etc. and those are all 1st Class and no feast day can override them.